Prime p₀= 2514236837968005341 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: Penguin
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2514234558497042231	0 30 36 50 56 60 78 102 116 140 158 162 168 182 188 218	-2279470963110
SPT(16)	2514234636232598761	0 10 42 52 88 96 130 132 136 138 172 180 216 226 258 268	-2201735406580
TPT(14)	2514234805339637321	0 2 6 8 168 170 240 242 270 272 300 302 396 398	-2032628368020
STPT(10)	2514235974329209367	0 2 12 14 42 44 72 74 84 86	-863638795974
TPT(14)	2514236155782248699	0 2 18 20 42 44 60 62 72 74 180 182 222 224	-682185756642
SPT(16)	2514236435896122473	0 8 18 30 110 126 174 236 288 350 398 414 494 506 516 524	-402071882868
SPT(16)	2514236952497017499	0 12 44 114 152 162 164 170 174 180 182 192 230 300 332 344	114529012158
STPT(10)	2514237175398037511	0 2 36 38 78 80 120 122 156 158	337430032170
SPT(16)	2514237394057653949	0 24 94 112 114 142 144 168 244 268 270 298 300 318 388 412	556089648608
SPT(16)	2514237417450048343	0 6 30 34 40 48 54 76 78 100 106 114 120 124 148 154	579482043002
STPT(10)	2514237423458847179	0 2 30 32 60 62 90 92 120 122	585490841838