Prime p₀= 1956857200996547027 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 70 2 40 2 16 2 148 2 (?)
a_n: 0 2 90 92 120 122 192 194 234 236 252 254 402 404
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: 404
Found by: Landjunge
db: batch=80, k=14, 88 28 70 40 16 148

STPT(10)	1956856081823229581	0 2 36 38 78 80 120 122 156 158	-1119173317446
TPT(14)	1956856293415165187	0 2 12 14 84 86 90 92 132 134 180 182 192 194	-907581381840
SPT(16)	1956856457573189873	0 24 38 60 108 120 204 288 290 374 458 470 518 540 554 578	-743423357154
SPT(16)	1956856557312288847	0 34 36 40 42 106 132 174 202 244 270 334 336 340 342 376	-643684258180
SPT(16)	1956856850521775767	0 34 36 52 66 96 112 126 130 144 160 190 204 220 222 256	-350474771260
SPT(16)	1956857191294910479	0 60 172 198 238 240 252 282 310 340 352 354 394 420 532 592	-9701636548
SPT(16)	1956858014129768003	0 14 20 66 80 90 114 116 258 260 284 294 308 354 360 374	813133220976
SPT(16)	1956858155091915553	0 10 30 48 66 76 88 90 154 156 168 178 196 214 234 244	954095368526
STPT(10)	1956858224643435467	0 2 54 56 72 74 90 92 144 146	1023646888440
STPT(10)	1956858256807701389	0 2 18 20 30 32 42 44 60 62	1055811154362
SPT(18)	1956858396702496363	0 94 168 234 270 280 286 354 360 454 460 528 534 544 580 646 720 814	1195705949336