Prime p₀= 2104599866720871251 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 64 2 40 2 16 2 22 2 (?)
a_n: 0 2 6 8 30 32 96 98 138 140 156 158 180 182
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: 182
Found by: kashi
db: batch=80, k=14, 4 22 64 40 16 22

SPT(16)	2104598894173946581	0 52 90 102 120 130 132 138 160 166 168 178 196 208 246 298	-972546924670
STPT(10)	2104599532568441717	0 2 12 14 72 74 132 134 144 146	-334152429534
STPT(10)	2104599647182715861	0 2 6 8 48 50 90 92 96 98	-219538155390
SPT(16)	2104599700249758553	0 4 10 28 48 90 108 114 130 136 154 196 216 234 240 244	-166471112698
STPT(10)	2104599733559196659	0 2 42 44 60 62 78 80 120 122	-133161674592
SPT(16)	2104599860213053369	0 4 18 34 70 84 112 124 138 150 178 192 228 244 258 262	-6507817882
SPT(16)	2104599878589327397	0 10 12 54 82 106 120 126 130 136 150 174 202 244 246 256	11868456146
STPT(12)	2104600287308201609	0 2 12 14 42 44 78 80 108 110 120 122	420587330358
STPT(10)	2104600640503997549	0 2 42 44 90 92 138 140 180 182	773783126298
SPT(16)	2104600667873844643	0 6 60 100 126 144 156 166 174 184 196 214 240 280 334 340	801152973392
STPT(10)	2104600883311719641	0 2 30 32 60 62 90 92 120 122	1016590848390