Prime p₀= 1410620080991321531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 94 2 58 2 22 2 28 2 (?)
a_n: 0 2 48 50 60 62 156 158 216 218 240 242 270 272
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: 272
Found by: rlacr
db: batch=78, k=14, 46 10 94 58 22 28

SPT(16)	1410618505735633009	0 30 34 40 54 82 100 112 132 144 162 190 204 210 214 244	-1575255688522
STPT(10)	1410618858292600709	0 2 18 20 30 32 42 44 60 62	-1222698720822
STPT(10)	1410618979947817877	0 2 30 32 42 44 54 56 84 86	-1101043503654
SPT(16)	1410619030104901831	0 90 118 148 166 196 198 250 288 340 342 372 390 420 448 538	-1050886419700
TPT(14)	1410619142822917409	0 2 18 20 72 74 90 92 132 134 198 200 270 272	-938168404122
SPT(16)	1410620048414193013	0 34 88 126 154 160 168 234 280 346 354 360 388 426 480 514	-32577128518
SPT(16)	1410620087829008417	0 32 44 56 84 102 116 126 230 240 254 272 300 312 324 356	6837686886
SPT(16)	1410620708184584327	0 2 56 140 176 222 264 266 300 302 344 390 426 510 564 566	627193262796
TPT(14)	1410621305299675331	0 2 120 122 156 158 198 200 210 212 228 230 288 290	1224308353800
SPT(16)	1410621457148939941	0 10 12 22 48 52 78 90 100 112 138 142 168 178 180 190	1376157618410
STPT(10)	1410621772029437489	0 2 18 20 30 32 42 44 60 62	1691038115958