Prime p₀= 1178458384450119107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 28 2 16 2 46 2 40 2 (?)
a_n: 0 2 30 32 54 56 84 86 102 104 150 152 192 194
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: 194
Found by: xii5ku
db: batch=77, k=14, 28 22 28 16 46 40

SPT(16)	1178457022738149151	0 18 22 60 106 112 126 202 216 292 306 312 358 396 400 418	-1361711969956
SPT(16)	1178457105675099553	0 36 64 70 84 106 136 144 160 168 198 220 234 240 268 304	-1278775019554
SPT(16)	1178457599954816869	0 28 34 64 78 94 100 120 142 162 168 184 198 228 234 262	-784495302238
SPT(16)	1178457959841029407	0 36 42 94 100 156 166 250 306 390 400 456 462 514 520 556	-424609089700
STPT(10)	1178458025005445927	0 2 12 14 42 44 72 74 84 86	-359444673180
SPT(16)	1178458138560217909	0 4 60 70 72 94 118 120 142 144 168 190 192 202 258 262	-245889901198
STPT(10)	1178458812125306147	0 2 42 44 72 74 102 104 144 146	427675187040
SPT(16)	1178458930379148503	0 8 44 50 68 74 78 86 108 116 120 126 144 150 186 194	545929029396
TPT(14)	1178459051004847109	0 2 42 44 78 80 120 122 198 200 222 224 240 242	666554728002
SPT(16)	1178459112236344907	0 12 86 104 122 126 140 182 204 246 260 264 282 300 374 386	727786225800
STPT(10)	1178459344549352441	0 2 36 38 78 80 120 122 156 158	960099233334