Prime p₀= 977495519419321757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 76 2 28 2 22 2 (?)
a_n: 0 2 30 32 54 56 72 74 150 152 180 182 204 206
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: 206
Found by: HenkM
db: batch=76, k=14, 28 22 16 76 28 22

STPT(10)	977494607517765047	0 2 60 62 72 74 84 86 144 146	-911901556710
SPT(16)	977494621813257617	0 6 20 42 62 72 200 212 240 252 380 390 410 432 446 452	-897606064140
SPT(16)	977494879130510399	0 38 50 72 84 110 138 150 182 194 222 248 260 282 294 332	-640288811358
SPT(16)	977494887098368271	0 68 78 120 138 182 222 230 240 248 288 332 350 392 402 470	-632320953486
STPT(10)	977494908044251151	0 2 36 38 78 80 120 122 156 158	-611375070606
STPT(10)	977495071876381601	0 2 6 8 48 50 90 92 96 98	-447542940156
SPT(16)	977495546939579779	0 28 42 82 102 150 180 210 220 250 280 328 348 388 402 430	27520258022
SPT(16)	977495958476085343	0 58 94 100 106 150 154 166 168 180 184 228 234 240 276 334	439056763586
SPT(16)	977496112611921523	0 40 64 66 90 96 124 136 234 246 274 280 304 306 330 370	593192599766
SPT(16)	977496156852531493	0 90 94 100 150 168 198 256 258 316 346 364 414 420 424 514	637433209736
SPT(16)	977496382858561361	0 32 50 66 80 92 116 162 206 252 276 288 302 318 336 368	863439239604