Prime p₀= 2583421227371210957 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 118 2 46 2 10 2 (?)
a_n: 0 2 12 14 42 44 54 56 174 176 222 224 234 236
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: 236
Found by: Penguin
db: batch=82, k=14, 10 28 10 118 46 10

SPT(16)	2583420397587879263	0 8 24 56 60 110 120 156 248 284 294 344 348 380 396 404	-829783331694
TPT(14)	2583420503801567189	0 2 12 14 48 50 132 134 222 224 240 242 342 344	-723569643768
SPT(16)	2583420918571679629	0 34 60 70 78 88 112 144 178 210 234 244 252 262 288 322	-308799531328
SPT(16)	2583420956746564369	0 4 18 24 52 58 70 112 210 252 264 270 298 304 318 322	-270624646588
STPT(10)	2583421024879859531	0 2 6 8 48 50 90 92 96 98	-202491351426
SPT(16)	2583421219120612877	0 14 30 54 56 62 86 152 174 240 264 270 272 296 312 326	-8250598080
TPT(14)	2583421267640660009	0 2 78 80 120 122 132 134 138 140 168 170 210 212	40269449052
SPT(16)	2583422240844650693	0 96 104 116 168 174 176 200 204 228 230 236 288 300 308 404	1013473439736
SPT(16)	2583422384782996741	0 40 46 66 90 196 210 246 262 298 312 418 442 462 468 508	1157411785784
STPT(10)	2583422653958062991	0 2 6 8 48 50 90 92 96 98	1426586852034
SPT(16)	2583422879509837903	0 16 84 94 114 126 154 160 174 180 208 220 240 250 318 334	1652138626946