Prime p₀= 1088664732008662199 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 124 2 28 2 10 2 10 2 (?)
a_n: 0 2 42 44 72 74 198 200 228 230 240 242 252 254
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: 254
Found by: Theadalus
db: batch=76, k=14, 40 28 124 28 10 10

SPT(16)	1088663233374434659	0 28 40 42 102 118 120 132 160 172 174 190 250 252 264 292	-1498634227540
SPT(16)	1088663561624005277	0 26 30 42 54 56 80 92 114 126 150 152 164 176 180 206	-1170384656922
STPT(10)	1088663819959838009	0 2 18 20 30 32 42 44 60 62	-912048824190
SPT(16)	1088663878948085381	0 2 30 32 78 102 188 230 240 282 368 392 438 440 468 470	-853060576818
SPT(16)	1088664253588794131	0 30 42 62 98 120 132 152 198 218 230 252 288 308 320 350	-478419868068
STPT(10)	1088664521649873587	0 2 12 14 42 44 72 74 84 86	-210358788612
STPT(10)	1088664758360113469	0 2 138 140 150 152 162 164 300 302	26351451270
SPT(16)	1088665346292204491	0 98 126 150 198 206 236 240 248 252 282 290 338 362 390 488	614283542292
STPT(10)	1088666612729986361	0 2 36 38 78 80 120 122 156 158	1880721324162
SPT(16)	1088666720014456783	0 28 30 46 54 58 70 88 126 144 156 160 168 184 186 214	1988005794584
SPT(16)	1088666771686593349	0 12 42 94 118 120 144 180 202 238 262 264 288 340 370 382	2039677931150