Prime p₀= 2117617303006728137 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 136 2 22 2 46 2 10 2 (?)
a_n: 0 2 24 26 102 104 240 242 264 266 312 314 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 22 76 136 22 46 10

STPT(10)	2117615855508841739	0 2 78 80 120 122 162 164 240 242	-1447497886398
STPT(10)	2117615906251056257	0 2 12 14 72 74 132 134 144 146	-1396755671880
SPT(16)	2117616182843103559	0 24 30 58 70 82 138 144 148 154 210 222 234 262 268 292	-1120163624578
SPT(16)	2117616550979793967	0 6 36 52 54 124 204 252 424 472 552 622 624 640 670 676	-752026934170
STPT(10)	2117617113207069569	0 2 18 20 30 32 42 44 60 62	-189799658568
SPT(16)	2117617260496525213	0 6 18 40 60 70 84 100 114 130 144 154 174 196 208 214	-42510202924
SPT(16)	2117617303539611903	0 8 14 50 86 98 138 156 248 266 306 318 354 390 396 404	532883766
TPT(14)	2117617645872356231	0 2 36 38 240 242 258 260 300 302 336 338 396 398	342865628094
SPT(16)	2117617974190119409	0 10 12 30 54 64 78 108 184 214 228 238 262 280 282 292	671183391272
STPT(10)	2117618199085980671	0 2 90 92 150 152 210 212 300 302	896079252534
STPT(10)	2117618297904459521	0 2 78 80 108 110 138 140 216 218	994897731384