Prime p₀= 1228000615494987107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 118 2 46 2 10 2 40 2 (?)
a_n: 0 2 72 74 132 134 252 254 300 302 312 314 354 356
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: 356
Found by: Theadalus
db: batch=77, k=14, 70 58 118 46 10 40

SPT(16)	1227998790776362243	0 16 28 34 60 66 70 108 136 174 178 184 210 216 228 244	-1824718624864
STPT(10)	1227999000495517301	0 2 6 8 18 20 30 32 36 38	-1614999469806
SPT(16)	1227999202729158017	0 14 20 36 92 132 144 204 242 302 314 354 410 426 432 446	-1412765829090
TPT(14)	1227999466923644507	0 2 54 56 120 122 204 206 294 296 372 374 420 422	-1148571342600
STPT(10)	1228000136413660637	0 2 30 32 42 44 54 56 84 86	-479081326470
SPT(16)	1228000412001296299	0 42 48 78 88 108 190 210 262 282 364 384 394 424 430 472	-203493690808
STPT(10)	1228000945134093017	0 2 30 32 42 44 54 56 84 86	329639105910
SPT(16)	1228000989603971461	0 42 46 58 88 90 120 156 202 238 268 270 300 312 316 358	374108984354
SPT(16)	1228001262996623021	0 20 26 30 56 90 102 170 228 296 308 342 368 372 378 398	647501635914
SPT(16)	1228001305246483871	0 12 32 42 60 90 110 116 126 132 152 182 200 210 230 242	689751496764
SPT(16)	1228001556627692467	0 36 40 66 70 126 154 174 196 216 244 300 304 330 334 370	941132705360