Prime p₀= 2277970497215219489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 34 2 28 2 52 2 58 2 (?)
a_n: 0 2 60 62 102 104 138 140 168 170 222 224 282 284
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: JayPi
db: batch=81, k=14, 58 40 34 28 52 58

SPT(16)	2277969053031654439	0 28 78 88 90 118 130 168 262 300 312 340 342 352 402 430	-1444183565050
SPT(16)	2277969178799666273	0 6 8 56 98 104 110 120 164 174 180 186 228 276 278 284	-1318415553216
SPT(16)	2277969397858317539	0 32 60 98 102 122 164 192 200 228 270 290 294 332 360 392	-1099356901950
SPT(16)	2277969399961715333	0 14 20 54 56 66 86 98 156 168 188 198 200 234 240 254	-1097253504156
STPT(10)	2277969420729528311	0 2 30 32 60 62 90 92 120 122	-1076485691178
TPT(14)	2277970386928136567	0 2 60 62 84 86 132 134 240 242 252 254 330 332	-110287082922
SPT(16)	2277970595286846979	0 18 102 120 168 178 204 232 270 298 324 334 382 400 484 502	98071627490
SPT(16)	2277970798835478337	0 22 30 100 120 240 324 352 414 442 526 646 666 736 744 766	301620258848
STPT(10)	2277970886736471917	0 2 12 14 42 44 72 74 84 86	389521252428
SPT(16)	2277971232419779279	0 42 54 60 82 130 160 208 264 312 342 390 412 418 430 472	735204559790
STPT(10)	2277971424820905389	0 2 78 80 120 122 162 164 240 242	927605685900