Prime p₀= 41198541200830787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [AF>Libristes] ElGuillermo
db: batch=65, k=10, 2 10 2 58 2

SPT(14)	41198454005776817	0 26 44 72 92 96 110 126 140 144 164 192 210 236	-87195053970
SPT(14)	41198484023502529	0 10 70 84 94 180 192 262 274 360 370 384 444 454	-57177328258
SPT(14)	41198485947024019	0 4 18 78 118 124 130 168 174 180 220 280 294 298	-55253806768
SPT(14)	41198502440670779	0 54 110 140 144 152 164 198 210 218 222 252 308 362	-38760160008
TPT(12)	41198512670325719	0 2 102 104 252 254 288 290 300 302 330 332	-28530505068
SPT(14)	41198530852216961	0 20 38 42 62 72 80 108 116 126 146 150 168 188	-10348613826
SPT(14)	41198547694150703	0 68 84 150 164 168 204 224 260 264 278 344 360 428	6493319916
SPT(14)	41198550807695251	0 40 76 78 88 126 132 166 172 210 220 222 258 298	9606864464
SPT(14)	41198554274815453	0 10 24 64 66 94 106 138 150 178 180 220 234 244	13073984666
SPT(14)	41198559386923579	0 40 42 54 60 70 102 112 144 154 160 172 174 214	18186092792
STPT(10)	41198562520619771	0 2 36 38 78 80 120 122 156 158	21319788984