Prime p₀= 1274497793749624049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 64 2 40 2 10 2 58 2 (?)
a_n: 0 2 90 92 102 104 168 170 210 212 222 224 282 284
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: 284
Found by: stoneageman
db: batch=77, k=14, 88 10 64 40 10 58

SPT(16)	1274496398914238449	0 60 82 94 102 120 124 132 250 258 262 280 288 300 322 382	-1394835385600
SPT(16)	1274496991055497927	0 6 34 70 82 100 112 130 156 174 186 204 216 252 280 286	-802694126122
SPT(16)	1274497512137205361	0 18 36 40 52 76 118 130 168 180 222 246 258 262 280 298	-281612418688
STPT(10)	1274497567815073907	0 2 30 32 42 44 54 56 84 86	-225934550142
TPT(14)	1274497623641635397	0 2 12 14 30 32 54 56 90 92 102 104 132 134	-170107988652
SPT(16)	1274497676498466913	0 10 34 36 100 136 208 238 246 276 348 384 448 450 474 484	-117251157136
SPT(16)	1274498651547683071	0 60 72 76 100 102 132 142 186 196 226 228 252 256 268 328	857798059022
SPT(16)	1274498753259676961	0 18 20 38 60 78 80 98 108 126 128 146 168 186 188 206	959510052912
STPT(10)	1274500206208040699	0 2 18 20 30 32 42 44 60 62	2412458416650
SPT(16)	1274500250118727627	0 22 24 66 94 102 106 112 144 150 154 162 190 232 234 256	2456369103578
SPT(16)	1274500496146597723	0 6 58 84 100 124 126 136 138 148 150 174 190 216 268 274	2702396973674