Prime p₀= 2310228614744324957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 28 2 52 2 34 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 144 146 180 182
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: 182
Found by: FritzB
db: batch=81, k=14, 10 28 16 28 52 34

SPT(16)	2310226914622917383	0 74 80 120 168 218 240 246 458 464 486 536 584 624 630 704	-1700121407574
SPT(16)	2310226962301326023	0 14 44 128 134 138 156 204 230 278 296 300 306 390 420 434	-1652442998934
TPT(14)	2310227016699344381	0 2 18 20 36 38 78 80 90 92 156 158 216 218	-1598044980576
SPT(16)	2310227555276198197	0 24 40 70 82 126 136 156 160 180 190 234 246 276 292 316	-1059468126760
SPT(16)	2310227753338425199	0 24 108 118 132 142 154 168 184 198 210 220 234 244 328 352	-861405899758
SPT(16)	2310228308880399079	0 22 58 60 130 204 250 258 364 372 418 492 562 564 600 622	-305863925878
TPT(14)	2310228708616735637	0 2 12 14 84 86 90 92 120 122 132 134 150 152	93872410680
STPT(10)	2310228821014341221	0 2 36 38 78 80 120 122 156 158	206270016264
SPT(16)	2310228868313424073	0 16 66 78 94 130 136 148 186 198 204 240 256 268 318 334	253569099116
STPT(10)	2310228888298489421	0 2 6 8 48 50 90 92 96 98	273554164464
SPT(16)	2310229048328149831	0 10 18 28 42 60 100 142 156 198 238 256 270 280 288 298	433583824874