Prime p₀= 2791189489455233129 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 16 2 40 2 88 2 16 2 (?)
a_n: 0 2 18 20 72 74 90 92 132 134 222 224 240 242
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: JayPi
db: batch=82, k=14, 16 52 16 40 88 16

SPT(16)	2791187525858236429	0 60 88 94 138 150 184 198 220 234 268 280 324 330 358 418	-1963596996700
SPT(16)	2791188249400847291	0 56 62 86 150 158 186 188 210 212 240 248 312 336 342 398	-1240054385838
SPT(16)	2791188317545372799	0 18 60 134 152 260 290 330 332 372 402 510 528 602 644 662	-1171909860330
SPT(16)	2791188631838974027	0 22 24 72 100 112 114 124 180 190 192 204 232 280 282 304	-857616259102
SPT(16)	2791188747360617893	0 6 24 48 58 94 108 136 168 196 210 246 256 280 298 304	-742094615236
SPT(16)	2791188986199659029	0 64 112 118 174 208 274 288 304 318 384 418 474 480 528 592	-503255574100
SPT(16)	2791190151836979257	0 32 54 60 84 150 162 164 222 224 236 302 326 332 354 386	662381746128
STPT(10)	2791190480033852339	0 2 42 44 60 62 78 80 120 122	990578619210
STPT(10)	2791190823936921191	0 2 30 32 78 80 126 128 156 158	1334481688062
SPT(16)	2791191896965761829	0 28 40 52 100 130 198 210 250 262 330 360 408 420 432 460	2407510528700
SPT(16)	2791191913892998933	0 30 78 84 120 144 148 234 280 366 370 394 430 436 484 514	2424437765804