Prime p₀= 1413453019447165397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 28 2 28 2 64 2 10 2 (?)
a_n: 0 2 30 32 54 56 84 86 114 116 180 182 192 194
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: 194
Found by: vanos0512
db: batch=78, k=14, 28 22 28 28 64 10

SPT(20)	1413451967353129841	0 2 18 20 126 156 236 278 296 302 306 312 330 372 452 482 588 590 606 608	-1052094035556
SPT(16)	1413452196579136919	0 60 72 74 80 84 90 122 210 242 248 252 258 260 272 332	-822868028478
TPT(14)	1413452395120686341	0 2 66 68 78 80 150 152 168 170 210 212 378 380	-624326479056
STPT(10)	1413452417231371547	0 2 30 32 60 62 90 92 120 122	-602215793850
SPT(16)	1413452719981982807	0 12 32 56 66 96 140 156 206 222 266 296 306 330 350 362	-299465182590
STPT(10)	1413452964052695911	0 2 36 38 78 80 120 122 156 158	-55394469486
TPT(14)	1413453054926232491	0 2 6 8 78 80 90 92 108 110 120 122 138 140	35479067094
SPT(16)	1413453061456451179	0 52 108 150 160 204 208 220 222 234 238 282 292 334 390 442	42009285782
TPT(14)	1413453370662274679	0 2 12 14 48 50 78 80 90 92 138 140 168 170	351215109282
STPT(10)	1413453377925605717	0 2 30 32 42 44 54 56 84 86	358478440320
SPT(16)	1413453749320944379	0 42 52 94 102 142 144 154 168 178 180 220 228 270 280 322	729873778982