Prime p₀= 2328630158359175819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 100 2 10 2 28 2 28 2 (?)
a_n: 0 2 42 44 108 110 210 212 222 224 252 254 282 284
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 284
Found by: herby44
db: batch=81, k=14, 40 64 100 10 28 28

SPT(16)	2328628498512387727	0 24 42 82 96 112 126 144 172 190 204 220 234 274 292 316	-1659846788092
SPT(16)	2328628848497646587	0 6 44 60 72 182 204 252 314 362 384 494 506 522 560 566	-1309861529232
SPT(16)	2328628949081401849	0 60 70 78 94 138 148 168 190 210 220 264 280 288 298 358	-1209277773970
SPT(16)	2328628986816483451	0 16 36 58 112 118 132 148 240 256 270 276 330 352 372 388	-1171542692368
STPT(10)	2328629215776743777	0 2 60 62 72 74 84 86 144 146	-942582432042
TPT(14)	2328629384012311151	0 2 78 80 120 122 126 128 156 158 186 188 210 212	-774346864668
SPT(16)	2328630557644311667	0 4 36 42 60 66 84 94 162 172 190 196 214 220 252 256	399285135848
TPT(14)	2328630750277620749	0 2 78 80 102 104 132 134 162 164 198 200 228 230	591918444930
SPT(16)	2328631261373619733	0 24 76 90 136 166 234 238 306 310 378 408 454 468 520 544	1103014443914
SPT(16)	2328631483651769911	0 28 82 90 130 160 168 216 262 310 318 348 388 396 450 478	1325292594092
SPT(18)	2328632166284554211	0 50 90 116 132 158 180 182 242 246 306 308 330 356 372 398 438 488	2007925378392