Prime p₀= 1144187330766685319 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 10 2 10 2 124 2 10 2 (?)
a_n: 0 2 30 32 78 80 90 92 102 104 228 230 240 242
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: 242
Found by: Vitalii Koshura
db: batch=76, k=14, 28 46 10 10 124 10

SPT(16)	1144186425605021023	0 4 54 60 96 114 130 196 264 330 346 364 400 406 456 460	-905161664296
SPT(16)	1144186663750221901	0 10 76 78 82 112 132 148 150 166 186 216 220 222 288 298	-667016463418
STPT(10)	1144186726337172107	0 2 30 32 102 104 174 176 204 206	-604429513212
STPT(10)	1144187030165600777	0 2 30 32 72 74 114 116 144 146	-300601084542
TPT(14)	1144187036718257639	0 2 18 20 42 44 72 74 132 134 240 242 288 290	-294048427680
SPT(16)	1144187105279734501	0 88 90 126 160 198 208 216 220 228 238 276 310 346 348 436	-225486950818
STPT(10)	1144187581943276987	0 2 30 32 42 44 54 56 84 86	251176591668
TPT(14)	1144187628532913099	0 2 78 80 90 92 300 302 312 314 342 344 438 440	297766227780
SPT(16)	1144187945809263011	0 38 60 158 186 206 210 276 290 356 360 380 408 506 528 566	615042577692
STPT(10)	1144188164908454591	0 2 30 32 78 80 126 128 156 158	834141769272
SPT(16)	1144188522443602679	0 8 30 32 92 150 170 198 212 240 260 318 378 380 402 410	1191676917360