Prime p₀= 1241059577454723779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1241058825999288301	0 10 40 66 76 82 90 96 166 172 180 186 196 222 252 262	-751455435478
SPT(16)	1241059024555068737	0 20 30 72 96 102 152 264 272 384 434 440 464 506 516 536	-552899655042
SPT(16)	1241059152302149049	0 8 72 122 182 200 204 228 434 458 462 480 540 590 654 662	-425152574730
SPT(16)	1241059222231369939	0 24 28 54 82 114 124 132 160 168 178 210 238 264 268 292	-355223353840
STPT(10)	1241059489776239867	0 2 24 26 42 44 60 62 84 86	-87678483912
SPT(16)	1241059540233272197	0 36 42 54 84 96 102 106 120 124 130 142 172 184 190 226	-37221451582
SPT(16)	1241059606315772053	0 4 30 40 66 88 156 178 186 208 276 298 324 334 360 364	28861048274
STPT(10)	1241059608468482219	0 2 18 20 30 32 42 44 60 62	31013758440
STPT(10)	1241059855378848257	0 2 30 32 42 44 54 56 84 86	277924124478
SPT(16)	1241059866867197863	0 6 58 114 154 166 180 184 300 304 318 330 370 426 478 484	289412474084
STPT(10)	1241060269812148991	0 2 6 8 18 20 30 32 36 38	692357425212