Prime p₀= 1227932681774792867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 136 2 58 2 70 2 34 2 172 2 (?)
a_n: 0 2 84 86 222 224 282 284 354 356 390 392 564 566
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: 566
Found by: xii5ku
db: batch=77, k=14, 82 136 58 70 34 172

SPT(16)	1227931930882235539	0 24 52 78 88 142 154 162 310 318 330 384 394 420 448 472	-750892557328
SPT(16)	1227932028073921901	0 20 66 80 86 126 146 150 152 156 176 216 222 236 282 302	-653700870966
SPT(13)	1227932318912586697	0 12 42 90 102 210 216 222 330 342 390 420 432	-362862206170
TPT(14)	1227932433120324707	0 2 12 14 24 26 42 44 144 146 222 224 240 242	-248654468160
STPT(10)	1227932576483425361	0 2 6 8 48 50 90 92 96 98	-105291367506
SPT(16)	1227932645834459179	0 30 42 54 88 114 124 130 192 198 208 234 268 280 292 322	-35940333688
SPT(16)	1227932726759595383	0 60 86 116 128 158 186 200 216 230 258 288 300 330 356 416	44984802516
TPT(14)	1227932786554707977	0 2 42 44 72 74 102 104 174 176 282 284 324 326	104779915110
STPT(10)	1227932990145007589	0 2 18 20 60 62 102 104 120 122	308370214722
STPT(10)	1227933091784382827	0 2 30 32 42 44 54 56 84 86	410009589960
STPT(10)	1227933126836284541	0 2 30 32 78 80 126 128 156 158	445061491674