Prime p₀= 2729499125956564691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2729497464109523143	0 18 28 60 106 124 156 168 226 238 270 288 334 366 376 394	-1661847041548
TPT(14)	2729497803487516739	0 2 42 44 72 74 108 110 168 170 192 194 240 242	-1322469047952
SPT(16)	2729498043569450347	0 64 76 82 106 112 120 220 276 376 384 390 414 420 432 496	-1082387114344
STPT(10)	2729498210755608221	0 2 96 98 138 140 180 182 276 278	-915200956470
SPT(16)	2729498501889760873	0 34 54 70 76 138 150 154 390 394 406 468 474 490 510 544	-624066803818
SPT(16)	2729498665223574553	0 18 36 40 108 124 138 150 184 196 210 226 294 298 316 334	-460732990138
STPT(10)	2729499378316070387	0 2 30 32 42 44 54 56 84 86	252359505696
SPT(16)	2729499532270612951	0 10 40 48 72 78 100 148 210 258 280 286 310 318 348 358	406314048260
SPT(16)	2729499748213789037	0 14 32 42 50 62 90 102 134 146 174 186 194 204 222 236	622257224346
STPT(10)	2729500193198248541	0 2 36 38 78 80 120 122 156 158	1067241683850
TPT(14)	2729500210213318427	0 2 12 14 42 44 72 74 90 92 114 116 132 134	1084256753736