Prime p₀= 2582070056113243601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 6 8 48 50 78 80 96 98 120 122 138 140
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: 140
Found by: JayPi
db: batch=82, k=14, 4 40 28 16 22 16

SPT(16)	2582067989534931643	0 28 40 88 166 186 208 228 238 258 280 300 378 426 438 466	-2066578311958
STPT(10)	2582068402789318109	0 2 42 44 60 62 78 80 120 122	-1653323925492
STPT(10)	2582069117009435231	0 2 6 8 48 50 90 92 96 98	-939103808370
TPT(14)	2582069431820007461	0 2 36 38 48 50 78 80 90 92 138 140 180 182	-624293236140
TPT(14)	2582069569280932889	0 2 12 14 30 32 138 140 198 200 222 224 240 242	-486832310712
TPT(14)	2582069641916463929	0 2 18 20 72 74 138 140 180 182 192 194 222 224	-414196779672
TPT(14)	2582070351412474379	0 2 90 92 120 122 132 134 210 212 240 242 288 290	295299230778
SPT(16)	2582070455756584711	0 6 18 66 76 178 216 220 228 232 270 372 382 430 442 448	399643341110
STPT(10)	2582070574967145011	0 2 36 38 78 80 120 122 156 158	518853901410
STPT(10)	2582070640830454589	0 2 12 14 30 32 48 50 60 62	584717210988
SPT(16)	2582070649850141249	0 42 50 74 104 122 140 150 182 192 210 228 258 282 290 332	593736897648