Prime p₀= 2036978813224483241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 46 2 28 2 10 2 10 2 (?)
a_n: 0 2 66 68 78 80 126 128 156 158 168 170 180 182
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: Landjunge
db: batch=80, k=14, 64 10 46 28 10 10

SPT(16)	2036978077533973687	0 24 66 84 100 120 130 154 222 246 256 276 292 310 352 376	-735690509554
TPT(14)	2036978319838052027	0 2 84 86 90 92 180 182 192 194 384 386 420 422	-493386431214
SPT(16)	2036978333667740731	0 10 36 78 108 112 136 142 156 162 186 190 220 262 288 298	-479556742510
SPT(16)	2036978639377739243	0 18 50 86 104 158 186 266 288 368 396 450 468 504 536 554	-173846743998
SPT(16)	2036978650326687497	0 26 72 84 140 156 176 180 236 240 260 276 332 344 390 416	-162897795744
SPT(16)	2036978792821544401	0 12 18 58 90 100 102 130 168 196 198 208 240 280 286 298	-20402938840
SPT(16)	2036978966147129297	0 12 42 60 116 122 200 242 264 306 384 390 446 464 494 506	152922646056
SPT(16)	2036979015076903129	0 4 24 40 58 70 100 114 124 138 168 180 198 214 234 238	201852419888
STPT(10)	2036979052168867559	0 2 18 20 30 32 42 44 60 62	238944384318
STPT(10)	2036979082921650779	0 2 18 20 30 32 42 44 60 62	269697167538
TPT(14)	2036979264352159667	0 2 72 74 204 206 222 224 330 332 414 416 432 434	451127676426