Prime p₀= 974632649326022441 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 34 2 10 2 40 2 34 2 40 2 (?)
a_n: 0 2 60 62 96 98 108 110 150 152 186 188 228 230
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: 230
Found by: sorcrosc
db: batch=76, k=14, 58 34 10 40 34 40

SPT(16)	974630986664290187	0 14 26 66 134 140 170 194 222 246 276 282 350 390 402 416	-1662661732254
STPT(10)	974631150432609077	0 2 42 44 72 74 102 104 144 146	-1498893413364
TPT(14)	974631347412099059	0 2 18 20 132 134 138 140 168 170 210 212 222 224	-1301913923382
SPT(16)	974631552042909451	0 36 78 88 108 126 136 148 300 312 322 340 360 370 412 448	-1097283112990
SPT(16)	974631641553320629	0 22 40 42 60 90 102 112 132 142 154 184 202 204 222 244	-1007772701812
STPT(10)	974631916217618777	0 2 30 32 42 44 54 56 84 86	-733108403664
SPT(16)	974632739467407079	0 42 52 54 70 108 114 124 138 148 154 192 208 210 220 262	90141384638
STPT(10)	974633122571756741	0 2 30 32 60 62 90 92 120 122	473245734300
SPT(16)	974633598419619769	0 10 72 208 220 228 252 268 444 460 484 492 504 640 702 712	949093597328
SPT(16)	974633607920757943	0 34 90 114 118 156 160 174 190 204 208 246 250 274 330 364	958594735502
SPT(16)	974634009273349921	0 6 126 156 160 196 202 210 292 300 306 342 346 376 496 502	1359947327480