Prime p₀= 872458803595652771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 130 2 76 2 40 2 28 2 10 2 (?)
a_n: 0 2 36 38 168 170 246 248 288 290 318 320 330 332
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: 332
Found by: RFGuy_KCCO
db: batch=73, k=14, 34 130 76 40 28 10

SPT(18)	872456975583251251	0 100 102 130 162 166 222 228 268 270 310 316 372 376 408 436 438 538	-1828012401520
STPT(10)	872457021068874149	0 2 18 20 30 32 42 44 60 62	-1782526778622
SPT(16)	872457385735943647	0 52 72 76 96 100 112 210 232 330 342 346 366 370 390 442	-1417859709124
SPT(16)	872457524127731999	0 2 18 44 84 92 98 144 188 234 240 248 288 314 330 332	-1279467920772
SPT(16)	872457767386616923	0 10 46 64 130 154 210 238 246 274 330 354 420 438 474 484	-1036209035848
SPT(16)	872458580764757131	0 10 28 40 46 70 88 90 166 168 186 210 216 228 246 256	-222830895640
SPT(16)	872458845104919791	0 42 68 80 98 122 162 200 210 248 288 312 330 342 368 410	41509267020
STPT(10)	872459659249062887	0 2 30 32 72 74 114 116 144 146	855653410116
STPT(10)	872459901163125797	0 2 30 32 42 44 54 56 84 86	1097567473026
SPT(16)	872460123513712619	0 8 32 42 62 90 92 98 132 138 140 168 188 198 222 230	1319918059848
STPT(10)	872460196863657527	0 2 30 32 72 74 114 116 144 146	1393268004756