Prime p₀= 786219428931028121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 28 2 46 2 10 2 (?)
a_n: 0 2 66 68 78 80 120 122 150 152 198 200 210 212
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: 212
Found by: schoussi
db: batch=73, k=14, 64 10 40 28 46 10

SPT(16)	786218895549978413	0 6 26 56 66 186 204 210 284 290 308 428 438 468 488 494	-533381049708
SPT(16)	786218966418262787	0 44 50 86 116 134 144 180 326 362 372 390 420 456 462 506	-462512765334
STPT(10)	786219040103434919	0 2 42 44 60 62 78 80 120 122	-388827593202
STPT(10)	786219130180419107	0 2 42 44 72 74 102 104 144 146	-298750609014
SPT(16)	786219188614889947	0 4 16 36 42 52 60 82 84 106 114 124 130 150 162 166	-240316138174
STPT(10)	786219205138782587	0 2 30 32 42 44 54 56 84 86	-223792245534
SPT(16)	786219630659722993	0 6 34 54 60 84 108 130 174 196 220 244 250 270 298 304	201728694872
SPT(16)	786219632491465097	0 14 44 60 84 116 126 150 176 200 210 242 266 282 312 326	203560436976
SPT(16)	786220463869808489	0 8 12 30 32 44 74 104 168 198 228 240 242 260 264 272	1034938780368
SPT(16)	786220684460271341	0 12 80 120 140 158 186 210 218 242 270 288 308 348 416 428	1255529243220
SPT(16)	786220853599826209	0 12 70 82 90 132 148 162 178 192 208 250 258 270 328 340	1424668798088